Questions on Word Problems: Problems on percentages, ratios, and fractions answered by real tutors!

Tutors Answer Your Questions about Percentage-and-ratio-word-problems (FREE)

Question 158348: kristin bought shares of a stock valued at $48.24. If the stock price soared to $66.33, find the percent increase in the value of the stock.
Click here to see answer by jojo14344(1512)

Question 158569: Hi! I hope this is an acceptable use of this website. My husband has recently added a hydrogen generator to his engine to increase his gas mileage. He used to get 11 miles to a gallon but now he gets 18 miles to a gallon.
We can't seem to figure out how to come up with the percentage of increase that is. We will need to use this formula a lot since he will be building one for my SUV next and is considering helping others with them. It feels silly to not be able to figure this out. He used a calculator to come up with an answer and I used longhand division and multiplication by hand and the weird thing is that we came up with different answers. I double-checked mine so I know mine is correct but since I'm not sure I used the correct formula, I still feel unsure of my answer.
Thanks in advance for your help!
Susan
Click here to see answer by scott8148(6628)

Question 158783: A new fax machine was purchased for an office in HopeDale for $464.40 including tax. If the tax rate is 8 % , find the price of the fax machine before taxes.
I thought that I knew how to do this but my tutor says I am incorrect. Please help by telling me where I went wrong. Thanks !
8 % of 464.40 = 37.12
464.40 - 37.12 = 427.28
Click here to see answer by scott8148(6628)

Question 158858: In a basketball league the Falcons won 15 out of 20 games. If they win only half the time from now on, how many games will they have to pla in order towin 60% of the total games?
What i have so far is 15 out of 20 games equals 75%.
Click here to see answer by edjones(7569)

Question 159022: how many ounces of water must be added to 20 ounces of 8% salt solution to make 2% salt soltion
Click here to see answer by gonzo(654)

Question 159187: a window has a shape of a square of side s, with a semicircle of diameter s above it. Write an equation that expresses the total of the window as a function of s
Click here to see answer by nerdybill(6951)

Question 159197: A cross-section of a standard or normal "two-by-four" board actually measures 1 1/2 in. by 3 1/2 in. The rough board is 2in. by 4in. but is planed and dried to the finished size. What percent of the wood is removed in planing and drying?
Click here to see answer by edjones(7569)

Question 159289: Aaron works part time as a salesperson for an electronics store. He earns $6.75 per hour plus a percent commission on all of his sales. Last week Aaron worked 17 hours and earned a gross income of $290.63. Find Aaron’s percent commission if his total sales for the week were $3,350. If necessary, round your answer to the nearest hundredth of a percent.
Click here to see answer by jojo14344(1512)

Question 159396: sam loves basketball and can sink the ball in the net 65% of the time. If he takes 30 shots, how many will he sink?
Click here to see answer by KnightOwlTutor(293)

Question 159797: a bookstore purchased a best selling price at 200 pesos per copy. at what price should this book be sold so that, giving a 20% discount, the profit is 30 %?
Click here to see answer by gonzo(654)

Question 160016: If the basketball team makes 80% of their foul shot, and the ratio of foul shots to lay ups is 5 to 3 and the ratio of layups to 3 point is 2 to 1 what will the team's score be if they take 28 four shots
Click here to see answer by ankor@dixie-net.com(15645)

Question 160137: If you earn a score of 72% on one exam and a score of 85% on another exam, what will you need to earn on the next exam so that your average for the three exams is 80%?
Click here to see answer by nabla(475)

Question 160299: mark was told that his hourly wage would increase by 7 1/2%. if his current wage is $12 an hour, what will be his new wage after the raise?
Click here to see answer by nerdybill(6951)

Question 160295: a best buy ad has a laptop computer on sale for 20% off the regular price. if the regular price is $899, what is the sale price?

Click here to see answer by nerdybill(6951)

Question 160297: mary invests $24,000 in two seperate accounts. one earns 6% simple interest and the other 9%. if she earned a total of $1740, how much did she invest at each rte?
Click here to see answer by jojo14344(1512)

Question 160296: amy earns $55 per week plus 11% of her weekly sales. if amy made $462 last week, what was her sales?
Click here to see answer by checkley77(12569)

Question 160504: AMY DRIVES 330 MILES USIN 15 GALLONS OF GAS. HOW MANY GALLONS OF GAS SHOULD SHE EXPECT TO USE ON A SIMILAR TRIP OF 462 MILES?
Click here to see answer by nerdybill(6951)

Question 160561: THE MEASURES OF TWO SMALLER ANGLES IN A TRIANGLE ARE THE SAME. THE THIRD ANGLE IS TWICE THE MEASURE OF EACH ANGLE.
Click here to see answer by stanbon(57282)

Question 160557: AN EIGHTEEN OUNCE BOX OF RICE COST $2.48. WRITE THE UNIT RATIO OF PRICE TO WEIGHT.
Click here to see answer by nerdybill(6951)

Question 160554: 30.2% of 60 is what number?
Click here to see answer by Fombitz(13828)

Question 160555: 30.2% of 60 is what number?
Click here to see answer by Fombitz(13828)

Question 160639: This is a question on a handout the teacher gave us. I don't have a clue where to even begin.
What number should be subtracted from the numerator of 21/29 to cause the fraction to equal 3/5?
Click here to see answer by checkley77(12569)

Question 160771: A company specializing in magazine sales over the telephone found that in 2500 calls, 360 resulted in sales made by male callers and 480 resulted in sales made by female callers. If the company gets twice as many sales per call with a female voice than with a male voice, how many of the 2500 calls were made by a female?
Click here to see answer by ankor@dixie-net.com(15645)

Question 160956: I am a parent that is homeschooling. This is a word problem that I have the answer too, but I am not quite sure how they came up with the ratio that they used to solve the answer. Question states:
There are two books that have 2,400 total number of pages. The ratio of pages is 3 to 5. How many pages are in each book?
They answer key states that the proportion is 3/8 = x/2400. The 3/8 doesn't make sense. But the answer is 900 pages for 1 book and 1500. The answers make sense and they are a 3 to 5 ratio but where did the 3 to 8 ratio come from?

Click here to see answer by scott8148(6628)

Question 161004: Can you please help me with this word problem? Thank you
Stella's Sweet Shoppe ordered jelly beans from two different distributors at different prices. Stella wants to combine the two types of jelly beans to make a mixture that costs $2.10 per pound. How many pounds of jelly beans that cost $1.40 per pound should be mixed with 7 pounds of jelly beans that cost $2.40 per pound to obtain the desired mixture?
Click here to see answer by ptaylor(2048)

Question 161087: write each ratio as a fraction in simplest form 11 1/3 out of 50 2/3
Click here to see answer by checkley77(12569)

Question 161831: If the number x is added to both the numerator and denominator of the fraction 2/5, the result is 2/3. What is x?
Click here to see answer by checkley77(12569)

Question 161861: What percent of 75 is 9?
Lets use proportions, on one side we will consider the numbers and on the other we will consider the percents. Now it is important to remember that the complete quantity (not the part) is always consider 100% and a fraction can be seen as piece/whole
so:
9/75 = x/100 (left represent the quantity in amount; right represents the same quantity in percent terms-- 9 is a piece of 75 as x% is a piece of 100%)
9/75=x/100
(100)* (9/75) = (x/100) * 100
900/75= 100x/100
12=1x or
12 percent
Click here to see answer by Alan3354(30993)

Question 161862: Vet clinic brought in 75 dogs for treatment. 40 had fleas, 27 had ticks and 14 had both ticks and fleas. How many had fleas but not ticks? How many had ticks but not fleas? How many dogs had neither ticks nor fleas?
Click here to see answer by edjones(7569)

Question 161942: what quanity of a 70% acid solution must be mixed with a 40% solution to produce 450ml of a 60% solution?
Click here to see answer by vleith(2825)

Question 162142: a bag contains 8 yellow marbles and 6 blue marbles. what number of yellow marbles can you add to the bag so that the ratio of yellow to blue marbles is 2:1?
we want yellow to be twice as big as blue
since blue is 6 then we want yellow to be 12
so we must add 4 more yellow

Click here to see answer by eperette(173)

Question 162144: a bag contains 8 yellow marbles and 6 blue marbles. what number of yellow marbles can you add to the bag so that the ratio of yellow to blue marbles is 2:1?
Click here to see answer by checkley77(12569)

Question 162325: what is 8 over 30 as a percent?
Click here to see answer by checkley77(12569)

Question 162415: 70 oz of potpourri that is 80% lavender are combined with a potpourri that is 60% lavender. The resulting potpourri is 74% lavender. How much of the potpourri that is 60% lavender is used?
Click here to see answer by nerdybill(6951)

Question 162609: Which fraction is greater 19/20 or 27/28? To explain your answer, use the meaning of fractions along with reasoning other than finding common denominators, common numerators, cross multiplying, or converting to decimal numbers.
Click here to see answer by jojo14344(1512)

Question 162606: In your own words, explain in detail why we can determine which of two fractions is greater by using the cross-multiplying method. What is the rationale behind this method? What are we really doing when we cross-multiply in order to compare fractions?
Click here to see answer by stanbon(57282)

Question 162615: If 36,000 people make up 15% of a population, then what is the total population? First, solve the problem with the aid of either a picture, a percent diagram, or both, explaining your reasoning. Then, solve the problem by setting up and solving an equation.
Click here to see answer by edjones(7569)

Question 162618: A company has brought 3.4 acres of land out of the 4 acres of land that it plans to buy. What percent of the land has the company already bought? First, solve the problem with either a picture, a percent diagram, or both, explaining your reasoning. Then, solve the problem by setting up and solving an equation.
Click here to see answer by edjones(7569)

Question 162954: The value of a pile of pennies, dimes, and quarters is $21.92. The ratio of the number of pennies to dimes is 4 to 7. The ratio of the number of dimes to quarters is 7 to 8. How many pennies, dimes, and quarters are in the pile?
Click here to see answer by ankor@dixie-net.com(15645)

Question 163030: What quantity of 80% solution must be mixed with a 30% solution to produce 750 mL of a 50% solution?
Click here to see answer by jojo14344(1512)

Question 163170: my son is having a problems on a few of his homework. the following one are the ones I have no idea how to figure out, please help me.
1. A local coffee house donaated tweleve pounds of fresh roasted coffee. The students are running a fundraiser at school and decide to sell the coffee in bags. how many bags can be made if each bag contains 3/5 pounds? Explain how to get answer.
2.
The seats in a theater are divded intow two sections. Section A has 15 rows Section B has 13 rows. There are 10 seats in aq row. How many seats are in the theater?
Jamal solved the problem using this method. He multiplied to find the seats in each section, and then added to find the total:
Section A 10 x 15=150
Section B 10x13=130
Total seats (10x15)+(10x13)=150 +130=280
Rosa thinks her method is correct. She added to find the total number of rows and then multiplied by the number of seats per row.
Rows in A and B 15 +13
Total seats 10(15+13)=10x28=280
Who is correct. Explain the answer.
Please explains answers to me so I can explain to him. He in 8th grade. Math is not what I took when I was in 8th grade. Please help a mom who is in need.

Click here to see answer by Electrified_Levi(103)

Question 163193: Michael has 1 liter of a mixture containing 69% of boric acid. How much water must be added to make the mixture 50% boric acid? (Represent answer as a fraction)
Click here to see answer by ptaylor(2048)

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